What is (\frac{4x)/(x^2+x-42)}{(x^3)/(x^2-49)} ?

The solution to (\frac{4x)/(x^2+x-42)}{(x^3)/(x^2-49)} is (4(x-7))/((x-6)x^2)

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simplify (\frac{4x)/(x^2+x-42)}{(x^3)/(x^2-49)}

simplify

\frac{\frac{4 x}{x ^{2} + x - 42}}{\frac{x ^{3}}{x ^{2} - 49}}

\frac{4 ( x - 7 )}{( x - 6 ) x ^{2}}

Solution steps

\frac{\frac{4 x}{x ^{2} + x - 42}}{\frac{x ^{3}}{x ^{2} - 49}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{4 x ( x ^{2} - 49 )}{( x ^{2} + x - 42 ) x ^{3}}

Cancel

\frac{4 x ( x ^{2} - 49 )}{( x ^{2} + x - 42 ) x ^{3}} : \frac{4 ( x - 7 )}{( x - 6 ) x ^{2}}

= \frac{4 ( x - 7 )}{( x - 6 ) x ^{2}}

(- 7)^{2}

1 \frac{3}{7}

\frac{1}{4} + \frac{3}{5} - \frac{3}{10}

(x + 6) + 6

\frac{1}{16} \cdot 2

What is (\frac{4x)/(x^2+x-42)}{(x^3)/(x^2-49)} ?
The solution to (\frac{4x)/(x^2+x-42)}{(x^3)/(x^2-49)} is (4(x-7))/((x-6)x^2)